Kingdom division sons

Before retiring, King Wenceslaus decided to divide the country between his three sons. He gave the eldest a third of the kingdom; the other two sons were twins, so he gave each of them a quarter of the kingdom. He kept the rest for himself to have somewhere to go hunting. How much of the kingdom was left to him?

Final Answer:

x =  1/6

Step-by-step explanation:

$$\begin{gathered} s=\frac{1}{3}+\frac{1}{4}+\frac{1}{4}=\frac{4}{12}+\frac{3}{12}+\frac{3}{12}=\frac{4+3+3}{12}=\frac{10}{12}=\frac{5}{6}\doteq 0.8333 \\ x=1-s=1-\frac{5}{6}=\frac{1\cdot 6}{6}-\frac{5}{6}=\frac{6}{6}-\frac{5}{6}=\frac{6-5}{6}=\frac{1}{6}=0.1667 \end{gathered}$$

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